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Finding the Third Proportional to 302,859,018,055 and 654,074,290,957

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Solution

The third proportional to 302,859,018,055 and 654,074,290,957 is: 1,412,581,936,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,859,018,055 : 654,074,290,957 = 654,074,290,957 : x
  2. Step 2: Convert to fraction form
    302,859,018,055/654,074,290,957 = 654,074,290,957/x
  3. Step 3: Cross multiply
    302,859,018,055x = 654,074,290,957 × 654,074,290,957
  4. Step 4: Simplify right side
    302,859,018,055x = 427,813,178,090,902,320,578,560
  5. Step 5: Solve for x
    x = 427,813,178,090,902,320,578,560/302,859,018,055
  6. Step 6: Final answer
    x = 1,412,581,936,104.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.